Details

sample195.0ms

Algorithm

intervals

Results

44.0ms	442×	pre	80	true
21.0ms	442×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2003
4	362
3	92
2	35
1	19
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.2b	(* (- (/ (* m (- 1 m)) v) 1) m)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
9×	`associate-r`
7×	`pow1`
4×	`associate-*r/` `difference-of-squares`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

3 → 101

Calls

3 calls:

23.0ms	(* m (- 1 m))
19.0ms	(/ (* m (- 1 m)) v)
61.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series199.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* m (- 1 m))
69.0ms	(/ (* m (- 1 m)) v)
53.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify3.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
3	4172
2	1090
1	428
0	180

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* m (- 1 m))
0.2b	(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
0.3b	(* (* m (- 1 m)) (/ 1 v))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-exp-log`
26×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
18×	`prod-diff`
14×	`prod-exp`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`cbrt-unprod`
7×	`associate-l` `associate-*r/`
5×	`pow-prod-down`
4×	`flip3--` `div-exp` `associate-*l/` `flip--`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `cbrt-undiv` `rec-exp` `sub-neg` `1-exp` `difference-of-squares` `unswap-sqr`
1×	`un-div-inv` `div-inv` `distribute-lft-out--`

Counts

3 → 116

Calls

3 calls:

32.0ms	(* m (- 1 m))
148.0ms	(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
40.0ms	(* (* m (- 1 m)) (/ 1 v))

series141.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* m (- 1 m))
27.0ms	(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
56.0ms	(* (* m (- 1 m)) (/ 1 v))

simplify3.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
3	4187
2	1332
1	544
0	210

prune361.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.1b	(/ v (* m (- 1 m)))
0.2b	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
0.3b	(/ 1 (/ v (* m (- 1 m))))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
48×	`times-frac`
40×	`add-cube-cbrt`
34×	`add-exp-log`
22×	`add-cbrt-cube`
18×	`prod-diff`
17×	`associate-l`
14×	`div-exp`
12×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
10×	`associate-/r*`
9×	`pow1` `associate-r`
8×	`difference-of-squares`
7×	`cbrt-undiv` `flip3--` `div-inv` `flip--`
6×	`prod-exp` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `difference-of-sqr-1` `distribute-lft-out--`
2×	`clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 175

Calls

4 calls:

16.0ms	(* m (- 1 m))
9.0ms	(/ v (* m (- 1 m)))
195.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
40.0ms	(/ 1 (/ v (* m (- 1 m))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* m (- 1 m))
50.0ms	(/ v (* m (- 1 m)))
61.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
76.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify1.8s

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
2	1648
1	651
0	280

prune515.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.2b	(* (sqrt m) (- (/ (* m (- 1 m)) v) 1))
0.5b	(* (* (sqrt m) (- (/ (* m (- 1 m)) v) 1)) (sqrt m))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
60×	`prod-diff`
57×	`*-un-lft-identity`
51×	`add-cube-cbrt`
34×	`distribute-rgt-in` `distribute-lft-in`
21×	`times-frac`
19×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
10×	`associate-l`
8×	`associate-*r/`
7×	`sqrt-prod` `div-inv`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `associate-/l*`

Counts

4 → 177

Calls

4 calls:

17.0ms	(* m (- 1 m))
27.0ms	(/ (* m (- 1 m)) v)
89.0ms	(* (sqrt m) (- (/ (* m (- 1 m)) v) 1))
102.0ms	(* (* (sqrt m) (- (/ (* m (- 1 m)) v) 1)) (sqrt m))

series272.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* m (- 1 m))
42.0ms	(/ (* m (- 1 m)) v)
102.0ms	(* (sqrt m) (- (/ (* m (- 1 m)) v) 1))
72.0ms	(* (* (sqrt m) (- (/ (* m (- 1 m)) v) 1)) (sqrt m))

simplify2.1s

Counts

189 → 189

Iterations

Iter	Nodes
done	5000
2	1958
1	757
0	311

prune580.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes216.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s	13850×	body	80	valid
414.0ms	13850×	pre	80	true